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azamat
3 years ago
11

Lars wants to know if warming up will help runners sprint faster. Twenty-four track and field athletes volunteered to participat

e in his study. He randomly assigns 12 athletes to warm-up for 10 minutes. All 24 participants sprint the same distance. He calculates the mean for each group and determines that the mean for the warm-up group was 7.8 seconds and the mean for the other group was 9.8 seconds. To test the difference of means, he re-randomized the data 54 times, and the differences are plotted in the dot plot below. What can Lars conclude from her study?
A dot plot is shown labeled from negative 2.5 to positive 2. Above the negative 2.5 are 3 dots. Above the negative 2 are 6 dots. Above the negative 1.5 are 9 dots. Above the negative 1 are 12 dots. Above the negative 0.5 are 6 dots. Above the 0.0 are 4 dots. Above the 0.5 are 3 dots. Above the 1.0 are 7 dots. Above the 1.5 are 3 dots. Above the 2.0 is 1 dot.

Answers
The difference in the means is significant because a difference of 2 is very likely.
The difference in the means is significant because a difference of 2 is not very likely.
The difference in the means is not significant because a difference of 2 is not very likely.
The difference in the means is not significant because a difference of 2 is very likely.
Mathematics
2 answers:
lions [1.4K]3 years ago
6 0
The answer is A its very likely and its very significant.

tensa zangetsu [6.8K]3 years ago
6 0

The answer is B: The difference in the means is significant because a difference of 2 is not very likely.

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Solve x2 – 64 = 0. Isolate x2: x2 = 64 Apply the square root property of equality: Isolate the variable: x = x =
dybincka [34]
Solve the equation by isolating the variable you're solving for on one side of the equation and get everything on the opposite side.

x^2 - 64 = 0

The x variable is being square and is being subtracted by 64.
Find the inverse of all of these operations.

First, get rid of the subtraction operation. The inverse of subtraction is addition.

Add 64 to both sides of the equation.

x^2 - 64 + 64 = 0 + 64 \\ x^2 = 64

Now the variable x is only being squared. Reverse this operation by using the inverse of exponents.

Take the square root of both sides.

\sqrt{x^2} = \sqrt{64}  \\ x = 8

So, x is equal to 8.
6 0
4 years ago
Read 2 more answers
Someone plssss help
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Your answer is 37%
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3 0
3 years ago
The difference of the square of a number and 40 is equal to 3 times that number. Find the positive solution.
Wewaii [24]

Answer: The answer is 8.

Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;

Y^2 - 40.

Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,

Y^2 - 40 = 3Y

If we move all expressions to one side of the equation, what we would have is,

Y^2 - 3Y -40 = 0

(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)

We now have a quadratic equation

Y^2 -3Y - 40 = 0

By factorizing we now have

(Y -8) (Y + 5) = 0

Therefore Y - 8 = 0 or

Y + 5 = 0

Hence, Y = 8 or Y = -5

Since we are asked to calculate the positive solution, Y = 8

5 0
4 years ago
At a sale, you purchased a $20 scarf for $15. What<br> was the percent of change?
sammy [17]
The scarf was 25% off
20 - 15 = $5
20 divided by 5 = 4
So it was 1/4 off which equals 25%
4 0
3 years ago
magine that you are conducting a one-variable chi-square test to investigate the hypothesis that there are equal numbers of cat
lilavasa [31]

Answer:

a. 135 is correct

Step-by-step explanation:

We have the following information:

dogs lover: 150

cats lover: 120

as the null hypothesis:

H, there are equal number of dogs lover and cats lover, so the expected frequency in each cell will be equal and that is:

f = (150 + 120) / 2

f = 270/2 = 135

so option a. 135 is correct

5 0
3 years ago
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